101011020000 has 480 divisors, whose sum is σ = 373193339904. Its totient is φ = 23692800000.

The previous prime is 101011019999. The next prime is 101011020007. The reversal of 101011020000 is 20110101.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×101011020000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011020007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20457532 + ... + 20462468.

Almost surely, 2^101011020000 is an apocalyptic number.

101011020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186596669952).

101011020000 is an abundant number, since it is smaller than the sum of its proper divisors (272182319904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011020000 is a wasteful number, since it uses less digits than its factorization.

101011020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101011020000 its reverse (20110101), we get a palindrome (101031130101).

The spelling of 101011020000 in words is "one hundred one billion, eleven million, twenty thousand".